2120100102211 has 24 divisors (see below), whose sum is σ = 2679514366464. Its totient is φ = 1641751544160.

The previous prime is 2120100102167. The next prime is 2120100102277. The reversal of 2120100102211 is 1122010010212.

It is not a de Polignac number, because 2120100102211 - 2³¹ = 2117952618563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2120100102191 and 2120100102200.

It is not an unprimeable number, because it can be changed into a prime (2120100102011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19009705 + ... + 19120906.

It is an arithmetic number, because the mean of its divisors is an integer number (111646431936).

Almost surely, 2^{2120100102211} is an apocalyptic number.

2120100102211 is a deficient number, since it is larger than the sum of its proper divisors (559414264253).

2120100102211 is a wasteful number, since it uses less digits than its factorization.

2120100102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38130691 (or 38130678 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2120100102211 its reverse (1122010010212), we get a palindrome (3242110112423).

The spelling of 2120100102211 in words is "two trillion, one hundred twenty billion, one hundred million, one hundred two thousand, two hundred eleven".